The Runge-Lenz vector is used to obtain the equation for the Kepler orbits algebraically and the frequency of small oscillations of a particle about a stable circular orbit. The invariance of the Hamiltonian under the Lie algebras generated by the components of the Runge-Lenz and angular momentum vectors is discussed.
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© 1970 American Association of Physics Teachers.
1970
American Association of Physics Teachers
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